Calculus 1

Fall 2012

Dmitriy Leykekhman

dmitriy.leykekhman@uconn.edu

Office: MAR 189
Phone
: (860) 405-9294

Office Hours
: MW 10:00 - 11:00 and by appointment
Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Monday, Wednesday, and Friday.

General Information:

MATH 1131 covers the rst 5 chapters of the textbook. The main topics are: functions, limits, continuity, derivatives, and integrals.

Class Meeting Times/Place: Monday, Wednesday 2:45 - 4:30 p.m. Classroom  ACD 211.

All classes start in ACD 211.

Textbooks:                          Required: Calculus: Early Transcendentals, by Briggs and Cochran

Homework Policy:

Homework is assigned every class and collected every Wednesday. They are returned the following Monday with remarks and graded. The total weight of the homework grades is 50 point of the total 400 course points.

Exam Schedule:                    Exam 1:  Wednesday, October 3 ,              2:45 - 4:30p.m.,  Room: ACD 211

Exam 2:  Wednesday, November 11,           2:45 - 4:30p.m.,  Room: ACD 211

Final Exam: Monday, December 10,    2:30 - 4:30 p.m.,  Room: ACD 211

Grading Policy:                        Homework: 50, Exam 1: 100, Exam 2: 100, Final Exam: 150.

Approximate schedule is below.

Please note: I am planning to cover most of the Chapters 1-5.
It is assumed that the students are familiar with the material of precalculus.

Weather Cancellation:                           Media sites for Avery Point campus weather cancellation information.

 Date Chapter Topic Homework Week 1 Mon. 8/27 1.1,1.2 Review of Functions.Representing Functions 1.1 Exercises: 4,6,7,19,35,36,64 1.2 Exercises: 7-11,17,18,31,56 Wed. 8/29 1.3,1.4 Inverse, Exponential, and Logarithm Functions. Trigonometric Functions and Their Inverses 1.3 Exercises: 8,10,19,20,35,36,38,67 1.4 Exercises: 16,17,22,30,31,35,36,57,83 Week 2 Mon. 9/3 Labor Day. No classes Wed. 9/5 2.1, 2.2 The Idea of Limits. Definitions of Limits 2.1 Exercises: 7,12,13,17,22 2.2 Exercises: 7,10,11,18,21,30 Week 3 Mon. 9/10 2.3, 2.4 Techniques for Computing Limits. Infinite Limits 2.3 Exercises: 6,12,19,20,23,30,39,40,62,742.4 Exercises: 9,12,16,18,20,23,24,39,44 Wed. 9/12 2.5 Limits at Infinity 2.5 Exercises: 11,12,25,26,29,30,31,33,40,41,52,54 Week 4 Mon. 9/17 2.6, 2.7 Continuity. Precise Definitions of Limits 2.6 Exercises 9,10,15,16,25,26,35,36,45,46,552.7: Exercises 9,12 Wed. 9/19 3.1 Introducing the Derivative 3.1 Exercises: 11,12,23,24,29,33,41,47,65,66 Week 5 Mon. 9/24 3.2, 3.3 Rules of Differentiation. The Product and Quotient Rules 3.2 Exercises 10,12,17,18,21,22,37,383.3: Exercises 7,8,17,18,19,20,31,32,49,50 Wed. 9/26 3.4, 3.5 Derivatives of Trigonometric Functions. Derivatives as Rates of Change 3.4 Exercises 8,9,10,11,16,17,18,19,44,45 3.5: Exercises 12,17,18,24,32,35 Week 6 Mon. 10/1 Review for Exam 1 Wed. 10/3 Exam 1 Week 7 Mon. 10/8 3.6 The Chain Rule 3.6 Exercises: 8,9,10,11,17,18,19,20,21,22,37,38 Wed. 10/10 3.7, 3.8 Implicit Differentiation. Derivatives of Logarithmic and Exponential Functions 3.7 Exercises 12,13,14,15,28,29,35,363.8: Exercises 10,11,39,40,47,48 Week 8 Mon. 10/15 3.9, 3.10 Derivatives of Inverse Trigonometric Functions. Related Rates 3.9 Exercises 9,10,11,12,13,14,15,163.10: Exercises 13,17,23,40 Wed. 10/17 4.1 Maxima and Minima 4.1 Exercises: 15,16,31,32,33,34,37,38,68 Week 9 Mon. 10/22 4.2 What Derivatives Tell Us 4.2 Exercises: 11,12,29,30,33,34,57,58 Wed. 10/24 4.3, 4.4 Graphing Functions. Optimization Problems 4.3 Exercises: 10,11,16,20,28,29 4.4 Exercises: 7,8,11,15 Week 10 Mon. 10/29 Class Cancelled due to Hurricane Wed. 10/31 Class Cancelled due to Hurricane Week 11 Mon. 11/5 4.5,4.6 Linear Approximation and Differentials. Mean Value Theorem 4.5 Exercises: 9,10,11,12,19,20,21,22,264.6 Exercises: 7,8,1,7,18,23 Wed. 11/7 4.7, 4.8 L'Hopital's Rule. Antiderivatives 4.7 Exercises: 15,16,19,20,27,28,31,32,42,44 4.8 Exercises: 11,12,13,16,19,20,33,34,35,36 Week 12 Mon. 11/12 Review for Exam 2 Wed. 11/14 Exam 2 Week 13 Mon. 11/19 Thanksgiving recess. Wed. 11/21 Thanksgiving recess. Week 14 Mon. 11/26 5.1 Definite IntegralsApproximating Areas under Curves 5.1 Exercises: 15,16,17,18,27,28,32(a,d) Wed. 11/28 5.2, 5.3 Definite Integrals. Fundamental Theorem of Calculus 5.2 Exercises: 19,20,25,26,27,28,405.3 Exercises:25,26,27,28,31,32,33,34,51,53 Week 15 Mon. 12/3 5.4, 5.5 Working with Integrals. Substitution Rule 5.4 Exercises: 7,8,9,10,19,20,5.5 Exercises: 13,14,17,18,29,30,35,36 Wed. 12/5 Review Week 16 Mon. 12/10 Final Exam, 2:30 -4:30 p.m.